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Finding the Fourth Proportional to 5,949.66, 8,921.43 and 3,489.30

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Solution

The fourth proportional to 5,949.66, 8,921.43 and 3,489.30 is: 5,232.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,949.66 : 8,921.43 = 3,489.30 : x
  2. Step 2: Convert to fraction form
    5,949.66/8,921.43 = 3,489.30/x
  3. Step 3: Cross multiply
    5,949.66x = 8,921.43 × 3,489.30
  4. Step 4: Simplify right side
    5,949.66x = 31,129,545.70
  5. Step 5: Solve for x
    x = 31,129,545.70/5,949.66
  6. Step 6: Final answer
    x = 5,232.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.